1. http://www.mathslideshows.com

2. Small Square Value = 1 Rectangle x 1 1 1 Value = x Large Square x x Value = x 2 Algebra Tiles

3. http://www.mathslideshows.com Small Square Value = -1 Rectangle -x 1 1 Value = - x Large Square -x x Value = -x 2 Algebra Tiles

4. http://www.mathslideshows.com We are going to use Algebra Tiles to solve algebraic equations. Algebra Tiles

5. http://www.mathslideshows.com = An Equation is like a balance scale. Everything must be equal on both sides.

6. http://www.mathslideshows.com = What you do to one side of an equation, you must do to the other side to keep it balanced.

7. http://www.mathslideshows.com = 4x-2=2x+3 What Equation Is This?

8. http://www.mathslideshows.com = -3x+1 = 2x+3 What Equation Is This?

9. http://www.mathslideshows.com = -3x+2= x-1 What Equation Is This?

10. http://www.mathslideshows.com = -3x-2= -x-1 What Equation Is This?

11. http://www.mathslideshows.com #18 + + x x x – Move the smaller number of x’s to one side 2 = 2x - 2 +2 +2 4 = 2x = 2x + 2 = 4x – 2 x x 2x + 2 = 4x - 2 -2x -2x x – + + + + 2 2 2 = x

12. http://www.mathslideshows.com Then you will draw the problem. Then you will write the algebra equation, solve and show the check. It is important to see the problem on your balance scale with the algebra tiles 1 st. I want to make sure you understand it conceptually before doing the algebra!

13. http://www.mathslideshows.com Show me problem #1 2x + 1 = x + 3 = Take 1x away from both sides. Draw this on your homework paper x = 2 Take 1 away from both sides.

14. http://www.mathslideshows.com Draw problem #1 2x + 1 = x + 3 + x ++ = + Take 1x away from both sides. x x Take 1 away from both sides. 2x + 1 = x + 3 -x -x x + 1 = 3 2(2) + 1 = 2 + 3 -1 -1 x = 2 4 + 1 = 5 5 = 5

15. http://www.mathslideshows.com Show me problem #2 3x + 2 = x + 8 = Take 1x away from both sides. Draw this on your homework paper x = 3 Take 2 away from both sides. Divide both sides by 2.

16. http://www.mathslideshows.com Draw Problem #2 3x + 2 = x + 8 +++ = + Take 1x away from both sides. Take 2 away from both sides. ++++ + + Divide both sides by 2. 3x + 2 = x + 8 -x -x 2x + 2 = 8 -2 -2 2x = 6 2 2 x = 3 3(3)+2= 3 + 8 9+2=11 11=11

17. http://www.mathslideshows.com Show me problem #3 3x - 5 = 4 = Add 5 to both sides. Draw this on your homework paper x = 3 Take away the zeros Divide both sides by 3.

18. http://www.mathslideshows.com Draw problem #3 3x - 5 = 4 - ++ = Add 5 to both sides Take away the zeros - ++ Divide both sides by 3. - - - +++ ++ + + + ++ 3x - 5 = 4 +5 +5 3x = 9 3 3 x = 3 3(3) - 5 = 4 9 - 5 = 4 4 = 4

19. http://www.mathslideshows.com Show me problem #4 2x - 1 = 3x = Take 2x away from both sides. Draw this on your homework paper x = -1

20. http://www.mathslideshows.com Draw problem #4 2x - 1 = 3x - = Take 2x away from both sides. 2x - 1 = 3x -2x -2x - 1 = x 2(-1) - 1 = 3(-1) -2 - 1 = -3 -3 = -3

21. http://www.mathslideshows.com Show me problem #5 4x + 1 = 3x - 1 = D raw this on your homework paper Take away 3x from both sides. Add -1 to both sides. Take away the zeros x = -2

22. http://www.mathslideshows.com Draw Problem #5 4x + 1 = 3x - 1 + = _ Take away 3x from both sides. Add -1 to both sides. Take away the zeros 4x + 1 = 3x – 1 -3x -3x x + 1 = -1 -1 -1 x = -2 4(-2)+1= 3(-2) -1 -8+1= -6 – 1 -7 = -7 _ _